JNU SSS 2017 Question 43: Budget constraint and consumer equilibrium

In a two-good world, a consumer's utility function is given by the following : $U(x, y) = \max\{x, y\}$, where $x$ and $y$ are the amounts consumed of the first and second goods respectively. The price of each of the two goods is ₹ 2 per unit. The consumer's income is ₹ 100. Draw the consumer's indifference curves and find out his utility-maximising consumption bundle(s).